Question

Evaluate:
\[9 \times (8 - \overline {3 + 2} ) - 2\left( {2 + \overline {3 + 3} } \right)\]

Answer 1

Hint: To solve this question first we have to solve the bar function. This bar function behaves like a bracket and we have to solve this first and then after solve by the BODMAS rule which is used to solve the equations which have precedence on mathematical operators. BODMAS is the trick used to solve mathematical operators.

Complete answer:
Given,
\[9 \times (8 - \overline {3 + 2} ) - 2\left( {2 + \overline {3 + 3} } \right)\]
To find,
The value of \[9 \times (8 - \overline {3 + 2} ) - 2\left( {2 + \overline {3 + 3} } \right)\]
Before solving this question you must know the precedence of mathematical operators such that which operator is solved first.
The trick is BODMAS, which stands for ‘bracket’ followed by ‘of’, ‘divide’, ‘multiplication’, ‘addition’, 'subtraction’.
Here, bar function is also given so first we solve bar because bar function behaves like a bracket.
\[ \Rightarrow 9 \times (8 - \overline {3 + 2} ) - 2\left( {2 + \overline {3 + 3} } \right)\]
Now solving bar function:
\[ \Rightarrow 9 \times (8 - 5) - 2\left( {2 + 6} \right)\]
Now according to the BODMAS rule first we solve the bracket.
\[ \Rightarrow 9 \times 3 - 2\left( 8 \right)\]
Now if we remove the bracket is replaced by of
\[ \Rightarrow 9 \times 3 - 2\,of\,8\]
Now next term of order is “of” so “of” is behave like multiplication
\[ \Rightarrow 9 \times 3 - 2 \times 8\]
The next order is division but the division does not exist so we go to the next term that is multiplication.
\[ \Rightarrow 27 - 16\]
The next term is addition but the addition does not exist so we use subtraction.
\[ \Rightarrow 11\]
Final answer:
The final answer of the expression \[9 \times (8 - \overline {3 + 2} ) - 2\left( {2 + \overline {3 + 3} } \right)\] is
\[ \Rightarrow 11\].

Note:
To solve this type of question you must know the precedence of mathematical operators. After knowing that, apply all the step by steps to solve the given expression. You may commit a mistake in applying the precedence and you may also confuse by the bar function but replace the bar function with the brackets